Part A: A car of weight 3560 N operating at a rate of 182 kW develops a maximum speed of 27 m/s on a level, horizontal road.
Assuming that the resistive force (due to friction and air resistance) remains constant, what is the car’s maximum speed on an incline of 1 in 20; i.e., if θ is the angle of the incline with the horizontal, sin θ = 1/20 ?
Answer in units of m/s.

Part B: What is its power output on a 1-in-10 incline if the car is traveling at 15 m/s?
Answer in units of W.